642840300 has 180 divisors, whose sum is σ = 2194034920. Its totient is φ = 162362880.

The previous prime is 642840251. The next prime is 642840313. The reversal of 642840300 is 3048246.

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 151812 + ... + 155988.

Almost surely, 2^642840300 is an apocalyptic number.

642840300 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 642840300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1097017460).

642840300 is an abundant number, since it is smaller than the sum of its proper divisors (1551194620).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

642840300 is a wasteful number, since it uses less digits than its factorization.

642840300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4222 (or 4206 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 642840300 is about 25354.2954940578. The cubic root of 642840300 is about 863.0468365898.

Adding to 642840300 its reverse (3048246), we get a palindrome (645888546).

The spelling of 642840300 in words is "six hundred forty-two million, eight hundred forty thousand, three hundred".